Repair of Geological Models Based on Multiple Material Marching Cubes

Benyu Li, Deyun Zhong and Liguan Wang
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Benyu Li: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Deyun Zhong: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Liguan Wang: School of Resources and Safety Engineering, Central South University, Changsha 410083, China

Mathematics, 2021, vol. 9, issue 18, 1-17

Abstract: In this paper, we present a multi-domain implicit surface reconstruction algorithm for geological modeling based on the labeling of voxel points. The improved algorithm sets a label for each voxel point to represent the type of its geological domain and then obtains all the voxel points in the void areas. After that, the improved algorithm modifies the labels of the voxel points in the void areas and finally reconstructs the geological models through the Multiple Material Marching Cubes (M3C) algorithm. The improved algorithm solves the problems of some unexpected overlaps and voids in geological modeling by setting and modifying the labels of the voxel points. Our key contribution is proposing a labeling processing method to repair the overlap and void defects generated in the geological modeling and realizing the improved M3C algorithm. The experimental results of some geological models show the performance of the improved method. Compared with the original method, the improved method can repair the overlap and void defects in geological modeling to ensure the raw structural adjacency relationships of the geological bodies.

Keywords: geological modeling; implicit surface reconstruction; marching cubes; multiple material marching cubes; model repair (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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